Part II: Brains Meet Math & Data

NoteOverview

Part II bridges the gap between biological observations and computational analysis. We introduce the mathematical languages and data science tools essential for both neuroscience research and AI development.

From information theory to causal inference, from statistical modeling to Bayesian decision-making, these chapters provide the quantitative foundations for rigorous NeuroAI research. You’ll learn to formalize neural computations, analyze experimental data, and build principled models of brain function.

Key Themes

Information Theory: Quantifying neural coding efficiency and capacity

Data Science Pipeline: From raw recordings to scientific insights

Causality: Distinguishing correlation from causal relationships

Statistical Modeling: Generalized linear models for neural data

Bayesian Inference: Optimal decision-making under uncertainty

Chapters in This Part

Important

Chapter 7: Information Theory Essentials Entropy, mutual information, and the mathematics of neural coding

Chapter 8: The Neuro-AI Data Science Pipeline: From Raw Data to Insight Processing, analyzing, and visualizing neural recordings

Chapter 9: Causal Inference in NeuroAI Granger causality, interventions, and causal graphs

Chapter 10: Model Fitting and Generalized Linear Models Statistical frameworks for understanding neural responses

Chapter 11: Bayesian Decision Making Probabilistic inference and optimal behavior

What You’ll Learn

By the end of Part II, you will understand:

  • ✓ How to quantify information in neural signals
  • ✓ Data preprocessing and analysis for neural recordings
  • ✓ Methods for inferring causal relationships in brain data
  • ✓ Statistical models relating stimuli to neural responses
  • ✓ Bayesian approaches to perception and decision-making
  • ✓ The mathematical foundations underlying neural computations

Mathematics is the language that transforms neural observations into computational understanding.